A sulfur-crosslinkable rubber mixture which, for improved abrasion characteristics with no significant deterioration in rolling resistance and in wet grip, comprises at least one functionalized diene rubber, the functionalization of which is along the polymer chain and/or at the end and enables attachment to fillers, the diene rubber having a glass transition temperature Tg of −110 to −15° C., at least one aliphatic and/or aromatic hydrocarbon resin with a softening point (ring and ball to ASTM E 28) of 50 to 150° C. and a mean molecular weight Mn of 200 to 2000 g/mol, and a polydispersity D=Mw/Mn of 1 to 5, and at least one filler.